Number $ e $ was formed using Compound interest formula $ ( 1 + \frac 1 n ) ^ n $. when $ n $ becomes so large $ e $ will approach constant $ 2.7182818 $. In the same way if we alter formula to be $ ( 1 + \frac 2 n ) ^ n $ then also it approach a irrational constant $ 7.389041 $. This is true with any number. So, what was significance about using $ 1 $ and naming it as $ e $.
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4That irrational constant $7.3890...$ is $e^2$. In general $$\lim_{n \to \infty} (1+x/n)^{1/n}=e^x$$ Isn't that cool? How could you say that without naming $e$? – Crostul Mar 20 '17 at 14:13
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"e will approach constant". NO. $e$ is a constant. – Mar 20 '17 at 14:14
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@Crostul Typo in the exponent? – Mohsen Shahriari Mar 20 '17 at 14:25
